Results 271 to 280 of about 400,456 (327)

Acoustic standing wave driven bubble dynamics in Oldroyd-B fluids using a semi analytical approach. [PDF]

Sci Rep
Alirahimi S, Mohammadi Alashti H, Jafari A.   +2 more
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Investigation on dynamical perspective of soliton solutions to the nonlinear integrable Akbota equation through a generalized analytical technique. [PDF]

Sci Rep
Iqbal M, Faridi WA, Alrashdi HD, Algethamie R, Aljohani A, El-Meligy M, Nazar NM, Alnowibet KA.   +7 more
europepmc   +1 more source

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Ordinary Differential Equations

2012
In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
K. F. Riley, M. P. Hobson
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On Implicit Ordinary Differential Equations

IMA Journal of Numerical Analysis, 1984
A geometric analysis of the problem \(f(x,y,y')=0\) is given which may be of value in developing numerical methods for solution near the singular points where \(fy'=0\). In particular, the approach here shows problems of switching branches when computing numerically a solution near an envelope, as noted by \textit{L. Fox} and \textit{D. F.
A. JEPSON, A. SPENCE
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Multivalued Differential Equations and Ordinary Differential Equations

SIAM Journal on Applied Mathematics, 1970
(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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Ordinary Differential Equations Texts.

The American Mathematical Monthly, 1998
(1998). Ordinary Differential Equations Texts. The American Mathematical Monthly: Vol. 105, No. 4, pp. 377-383.
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Ordinary Differential Equations in Rn

1984
We see that numerous applications to biology, chemistry, economics and medicine have recently been added to the traditional ones in mechanics, hence ordinary differential equations become again a fundamental tool for understanding scientific world. In the last yeares interest for non linear analysis has steadily grown, and the theory of non linear ...
PICCININI, Livio Clemente, STAMPACCHIA G, VIDOSSICH G.   +2 more
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Attractors of Ordinary Differential Equations

Ukrainian Mathematical Journal, 2000
The author gives sufficient conditions for the existence of polynomial attractors for ODEs. This problem is generally treated by perturbation techniques. Here, the author uses Lyapunov vector functions and introduces the notion of polynomial asymptotic equilibrium.
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Explicit Ordinary Differential Equations

1998
In the last chapter we discussed the numerical treatment of explicit ordinary differential equations. Here, we will consider the more general case, implicit ordinary differential equations.
Edda Eich-Soellner, Claus Führer
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